Trigonometric functions, also known as trig functions, are mathematical functions used to relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are sine, cosine, and tangent.
The coordinates of a point on the unit circle can be found using the trigonometric functions. The x-coordinate is equal to the cosine of the angle, and the y-coordinate is equal to the sine of the angle.
The unit circle is a circle with a radius of 1 centered at the origin on a Cartesian coordinate system. It is important because it is used to define the values of the trigonometric functions for all angles, and it is also used in many mathematical and scientific applications.
To find the coordinates of a point using the tangent function, you first need to know the value of the angle between the point and the x-axis. Then, you can use the tangent function to find the ratio of the opposite side to the adjacent side, which will give you the y-coordinate. The x-coordinate will be the same as the adjacent side.
Trigonometric functions can be used to solve many real-world problems, such as finding the height of a building or the distance between two objects. By using trigonometric ratios and the given information, you can set up and solve equations to find the unknown values.